An Evaluation Method of Gear Pitch Deviations Based on the Consideration of Installation Errors

考慮安裝誤差的齒輪齒距偏差評定方法

湯潔(Jie Tang) ； 魏建傑(Jian-Jie Wei) ； 石照耀(Zhao-Yao Shi)

《中國機械工程學刊》 41卷4期 (2020/08) Pp. 441-448

摘要

To lower the influence of installation errors on gear pitch measurement, an evaluation method of pitch deviations is introduced, considering installation eccentricity error and installation wobbling error. The pitch measurement points are firstly transformed from the machine coordinate system into the workpiece coordinate system. Then gear functional center is fitted according to least squares equation established with the pitch measurement points and base circle center, and solved by Newton's method. After that, pitch deviations are evaluated according to ISO1328-1:2013. Experiments are carried out on a gear measurement center under four groups of different installation errors. The value of the variation among total cumulative pitch deviations of the product gear obtained by this method under different installation conditions is 0.39μm, whereas the variation obtained by the gear measurement center is 28.66μm. The method can be used to evaluate pitch deviations in the pitch measurement under certain installation errors.

關鍵字

gear metrology ； pitch deviation ； eccentricity ； coordinate metrology

並列摘要

考慮安裝偏心誤差和偏擺誤差的齒距偏差評定方法，是將齒距測量點從機器坐標系變換到工件坐標系，建立最小二乘法及牛頓法得到齒輪回轉中心，再由ISO1328-1:2013評定偏差。齒輪測量中心試驗表明，應用該方法同一齒輪4種安裝誤差條件下齒距累積總偏差數值相差0.39μm，未用該方法數值相差28.66μm。該方法可用於一定安裝誤差條件下齒輪齒距偏差測量。